Abstract

A novel analytical treatment of the transport of broadband radiation arbitrarily directed through a bleaching medium is presented. The emphasis is on the principle features of photodecomposition (bleaching) wave formation. Considering radiation from a uniform planar source with stable radiative characteristics and media with a uniform initial distribution of the absorptive component, we show that this problem has an asymptotic stationary solution for a wave propagating through a medium characterized by a photodecomposition spectrum without any portion in which the absorption cross section continually runs down to zero.

© 2001 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. V. S. Zuev and L. D. Mikheev, Photochemical Lasers (Harwood Academic, Chur, Switzerland, 1991).
  2. L. D. Mikheev, Pure Appl. Chem. 64, 1461 (1992).
    [CrossRef]
  3. Yu. Yu. Stoylov, Sov. Phys. Usp. 31, 354 (1988).
    [CrossRef]
  4. V. S. Zuev, J. Russ. Laser Res. 19, 23 (1998).
  5. R. Bellman, G. Birnbaum, and W. G. Wagner, J. Appl. Phys. 34, 780 (1963).
    [CrossRef]
  6. L. M. Frantz and J. S. Nodvik, J. Appl. Phys. 34, 2346 (1963).
    [CrossRef]
  7. V. M. Ovchinnikov and V. E. Khartsiev, Sov. Phys. JETP 22, 221 (1966).
  8. B. L. Borovich, V. S. Zuev, V. A. Katulin, O. Yu. Nosach, E. L. Tyurin, and A. V. Shcheglov, Sov. J. Quantum Elektron. 2, 160 (1972).
    [CrossRef]
  9. B. L. Borovich, V. S. Zuev, and O. N. Krokhin, Sov. Phys. JETP 37, 602 (1973).
  10. V. S. Zuev, L. D. Mikheev, and I. V. Pogorel’skii, Proc. P. N. Lebedev Phys. Inst. 125, 104 (1980).
  11. J. S. Cohen and O. P. Judd, Phys. Rev. A 27, 3146 (1983).
    [CrossRef]
  12. J. S. Cohen and O. P. Judd, J. Appl. Phys. 55, 2659 (1984).
    [CrossRef]
  13. R. E. Beverly, Appl. Phys. B 56, 147 (1993).
    [CrossRef]
  14. S. Chandrasekhar, Radiative Transfer (Dover, New York, 1960).
  15. Ya. B. Zel’dovich and Yu. P. Raizer, Physics of Shock Waves and High-Temperature Hydrodynamic Phenomena (Academic, New York, 1966).
  16. V. I. Tcheremiskine, “Studies of the photodissociation wave formation: application to the active medium of photodissociation XeF(C–A) laser,” Ph.D.  dissertation (Université de la Mediterranee Marseille, France, 1999).

1998 (1)

V. S. Zuev, J. Russ. Laser Res. 19, 23 (1998).

1993 (1)

R. E. Beverly, Appl. Phys. B 56, 147 (1993).
[CrossRef]

1992 (1)

L. D. Mikheev, Pure Appl. Chem. 64, 1461 (1992).
[CrossRef]

1988 (1)

Yu. Yu. Stoylov, Sov. Phys. Usp. 31, 354 (1988).
[CrossRef]

1984 (1)

J. S. Cohen and O. P. Judd, J. Appl. Phys. 55, 2659 (1984).
[CrossRef]

1983 (1)

J. S. Cohen and O. P. Judd, Phys. Rev. A 27, 3146 (1983).
[CrossRef]

1980 (1)

V. S. Zuev, L. D. Mikheev, and I. V. Pogorel’skii, Proc. P. N. Lebedev Phys. Inst. 125, 104 (1980).

1973 (1)

B. L. Borovich, V. S. Zuev, and O. N. Krokhin, Sov. Phys. JETP 37, 602 (1973).

1972 (1)

B. L. Borovich, V. S. Zuev, V. A. Katulin, O. Yu. Nosach, E. L. Tyurin, and A. V. Shcheglov, Sov. J. Quantum Elektron. 2, 160 (1972).
[CrossRef]

1966 (1)

V. M. Ovchinnikov and V. E. Khartsiev, Sov. Phys. JETP 22, 221 (1966).

1963 (2)

R. Bellman, G. Birnbaum, and W. G. Wagner, J. Appl. Phys. 34, 780 (1963).
[CrossRef]

L. M. Frantz and J. S. Nodvik, J. Appl. Phys. 34, 2346 (1963).
[CrossRef]

Bellman, R.

R. Bellman, G. Birnbaum, and W. G. Wagner, J. Appl. Phys. 34, 780 (1963).
[CrossRef]

Beverly, R. E.

R. E. Beverly, Appl. Phys. B 56, 147 (1993).
[CrossRef]

Birnbaum, G.

R. Bellman, G. Birnbaum, and W. G. Wagner, J. Appl. Phys. 34, 780 (1963).
[CrossRef]

Borovich, B. L.

B. L. Borovich, V. S. Zuev, and O. N. Krokhin, Sov. Phys. JETP 37, 602 (1973).

B. L. Borovich, V. S. Zuev, V. A. Katulin, O. Yu. Nosach, E. L. Tyurin, and A. V. Shcheglov, Sov. J. Quantum Elektron. 2, 160 (1972).
[CrossRef]

Chandrasekhar, S.

S. Chandrasekhar, Radiative Transfer (Dover, New York, 1960).

Cohen, J. S.

J. S. Cohen and O. P. Judd, J. Appl. Phys. 55, 2659 (1984).
[CrossRef]

J. S. Cohen and O. P. Judd, Phys. Rev. A 27, 3146 (1983).
[CrossRef]

Frantz, L. M.

L. M. Frantz and J. S. Nodvik, J. Appl. Phys. 34, 2346 (1963).
[CrossRef]

Judd, O. P.

J. S. Cohen and O. P. Judd, J. Appl. Phys. 55, 2659 (1984).
[CrossRef]

J. S. Cohen and O. P. Judd, Phys. Rev. A 27, 3146 (1983).
[CrossRef]

Katulin, V. A.

B. L. Borovich, V. S. Zuev, V. A. Katulin, O. Yu. Nosach, E. L. Tyurin, and A. V. Shcheglov, Sov. J. Quantum Elektron. 2, 160 (1972).
[CrossRef]

Khartsiev, V. E.

V. M. Ovchinnikov and V. E. Khartsiev, Sov. Phys. JETP 22, 221 (1966).

Krokhin, O. N.

B. L. Borovich, V. S. Zuev, and O. N. Krokhin, Sov. Phys. JETP 37, 602 (1973).

Mikheev, L. D.

L. D. Mikheev, Pure Appl. Chem. 64, 1461 (1992).
[CrossRef]

V. S. Zuev, L. D. Mikheev, and I. V. Pogorel’skii, Proc. P. N. Lebedev Phys. Inst. 125, 104 (1980).

V. S. Zuev and L. D. Mikheev, Photochemical Lasers (Harwood Academic, Chur, Switzerland, 1991).

Nodvik, J. S.

L. M. Frantz and J. S. Nodvik, J. Appl. Phys. 34, 2346 (1963).
[CrossRef]

Nosach, O. Yu.

B. L. Borovich, V. S. Zuev, V. A. Katulin, O. Yu. Nosach, E. L. Tyurin, and A. V. Shcheglov, Sov. J. Quantum Elektron. 2, 160 (1972).
[CrossRef]

Ovchinnikov, V. M.

V. M. Ovchinnikov and V. E. Khartsiev, Sov. Phys. JETP 22, 221 (1966).

Pogorel’skii, I. V.

V. S. Zuev, L. D. Mikheev, and I. V. Pogorel’skii, Proc. P. N. Lebedev Phys. Inst. 125, 104 (1980).

Raizer, Yu. P.

Ya. B. Zel’dovich and Yu. P. Raizer, Physics of Shock Waves and High-Temperature Hydrodynamic Phenomena (Academic, New York, 1966).

Shcheglov, A. V.

B. L. Borovich, V. S. Zuev, V. A. Katulin, O. Yu. Nosach, E. L. Tyurin, and A. V. Shcheglov, Sov. J. Quantum Elektron. 2, 160 (1972).
[CrossRef]

Stoylov, Yu. Yu.

Yu. Yu. Stoylov, Sov. Phys. Usp. 31, 354 (1988).
[CrossRef]

Tcheremiskine, V. I.

V. I. Tcheremiskine, “Studies of the photodissociation wave formation: application to the active medium of photodissociation XeF(C–A) laser,” Ph.D.  dissertation (Université de la Mediterranee Marseille, France, 1999).

Tyurin, E. L.

B. L. Borovich, V. S. Zuev, V. A. Katulin, O. Yu. Nosach, E. L. Tyurin, and A. V. Shcheglov, Sov. J. Quantum Elektron. 2, 160 (1972).
[CrossRef]

Wagner, W. G.

R. Bellman, G. Birnbaum, and W. G. Wagner, J. Appl. Phys. 34, 780 (1963).
[CrossRef]

Zel’dovich, Ya. B.

Ya. B. Zel’dovich and Yu. P. Raizer, Physics of Shock Waves and High-Temperature Hydrodynamic Phenomena (Academic, New York, 1966).

Zuev, V. S.

V. S. Zuev, J. Russ. Laser Res. 19, 23 (1998).

V. S. Zuev, L. D. Mikheev, and I. V. Pogorel’skii, Proc. P. N. Lebedev Phys. Inst. 125, 104 (1980).

B. L. Borovich, V. S. Zuev, and O. N. Krokhin, Sov. Phys. JETP 37, 602 (1973).

B. L. Borovich, V. S. Zuev, V. A. Katulin, O. Yu. Nosach, E. L. Tyurin, and A. V. Shcheglov, Sov. J. Quantum Elektron. 2, 160 (1972).
[CrossRef]

V. S. Zuev and L. D. Mikheev, Photochemical Lasers (Harwood Academic, Chur, Switzerland, 1991).

Appl. Phys. B (1)

R. E. Beverly, Appl. Phys. B 56, 147 (1993).
[CrossRef]

J. Appl. Phys. (3)

J. S. Cohen and O. P. Judd, J. Appl. Phys. 55, 2659 (1984).
[CrossRef]

R. Bellman, G. Birnbaum, and W. G. Wagner, J. Appl. Phys. 34, 780 (1963).
[CrossRef]

L. M. Frantz and J. S. Nodvik, J. Appl. Phys. 34, 2346 (1963).
[CrossRef]

J. Russ. Laser Res. (1)

V. S. Zuev, J. Russ. Laser Res. 19, 23 (1998).

Phys. Rev. A (1)

J. S. Cohen and O. P. Judd, Phys. Rev. A 27, 3146 (1983).
[CrossRef]

Proc. P. N. Lebedev Phys. Inst. (1)

V. S. Zuev, L. D. Mikheev, and I. V. Pogorel’skii, Proc. P. N. Lebedev Phys. Inst. 125, 104 (1980).

Pure Appl. Chem. (1)

L. D. Mikheev, Pure Appl. Chem. 64, 1461 (1992).
[CrossRef]

Sov. J. Quantum Elektron. (1)

B. L. Borovich, V. S. Zuev, V. A. Katulin, O. Yu. Nosach, E. L. Tyurin, and A. V. Shcheglov, Sov. J. Quantum Elektron. 2, 160 (1972).
[CrossRef]

Sov. Phys. JETP (2)

B. L. Borovich, V. S. Zuev, and O. N. Krokhin, Sov. Phys. JETP 37, 602 (1973).

V. M. Ovchinnikov and V. E. Khartsiev, Sov. Phys. JETP 22, 221 (1966).

Sov. Phys. Usp. (1)

Yu. Yu. Stoylov, Sov. Phys. Usp. 31, 354 (1988).
[CrossRef]

Other (4)

V. S. Zuev and L. D. Mikheev, Photochemical Lasers (Harwood Academic, Chur, Switzerland, 1991).

S. Chandrasekhar, Radiative Transfer (Dover, New York, 1960).

Ya. B. Zel’dovich and Yu. P. Raizer, Physics of Shock Waves and High-Temperature Hydrodynamic Phenomena (Academic, New York, 1966).

V. I. Tcheremiskine, “Studies of the photodissociation wave formation: application to the active medium of photodissociation XeF(C–A) laser,” Ph.D.  dissertation (Université de la Mediterranee Marseille, France, 1999).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (1)

Fig. 1
Fig. 1

Solutions for the BW front, calculated for planar monochromatic ν=ν0 sources with different radiation angular distributions and corresponding to different values of the Φ0/Φ0s ratio (0, 1.5, 4.5, and 45). Solid lines, fronts produced under Lambertian radiation; dotted lines, fronts produced under normally collimated radiation characterized by cosθ=1 and σx=σ (ν0); dashed lines, fronts produced under collimated radiation characterized by cosθ=1/2 and σx=2σ v0. The lines related to Φ0=Φ0s equal to 1.5 and 4.5 lie between the corresponding solutions for 0 and 45 (indicated by the arrows).

Equations (12)

Equations on this page are rendered with MathJax. Learn more.

ix/x=-σxν,θixNx,t,
ixx,t,ν,θ=i0xt,ν,θexp-σx0xNx,tdx,
Nx,t/t=-Nx,t02πσxν,θixx,t,ν,θdΩdν.
Ix/x=-σ¯xIxN,
N/t=-σ¯xIxN,
Ixx,t=2πν1ν20π/2ixx,t,ν,θsinθdθdν,
σ¯xx,t=1Ix2πν1ν20π/2σxν,θixx,t,ν,θ×sinθdθdν.
ηx,t=0xNx,tdx,
ηx,0ηx,t1-exp-βxη-1dη=-Φ0t,
βxηx,t=0ηx,tσ¯xηdη,Φ0t=0tI0tdt,
ηx,t=σx-1ln(1+expσxN0x-Φ0t/N0-exp-σxΦ0t).
Nstη=N01-exp-βxη,Wstη,t=σ¯xηIxη,tNstη.

Metrics